Calculation of pr(success) (i.e., CP, PPoS and PoS) is often `non-trivial' mathematical task [1]}. To make it more difficult, the literature in this area is severely suffered by the inconsistent use of terminologies for these concepts. For example, PPoS has been referred as `predictive power' [2]}, [3]}, `Bayesian predictive power (BPP)' [4]}, `predictive probability of statistical significance' [5]} and `probability of study success' [6]} in the literature. On the other hand, the PoS in the literature is also referred in the literature as `average success probability [7]}, [8]}, `assurance' [9]}, and `expected power' [8]}. Further, certain areas (e.g., trials with binary endpoint) received more attention compared to the rest. For example, we could not find any literature discussing these probability measures in a single-arm trial with the time-to-event endpoint. Despite the wide popularity of these measures, the current literature still lacks the concise presentation of these measures under a general framework of hypothesis testing. The present work attempts to fill all these gaps.
